Convex effect algebras, state ordered effect algebras, and ordered linear spaces (Q1580731)
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scientific article; zbMATH DE number 1507659
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convex effect algebras, state ordered effect algebras, and ordered linear spaces |
scientific article; zbMATH DE number 1507659 |
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Convex effect algebras, state ordered effect algebras, and ordered linear spaces (English)
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19 June 2001
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The authors abstract the order interval \([0,u]\) of an ordered Banach space with order-unit \(u\). This interval with restricted addition and scalar multiplication gives an example of convex effect algebra in ad hoc terminology. The authors give a realization theory for the objects under study to embed into the order interval of an appropriate space of continuous functions.
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order interval
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Banach ordered space with order-unit
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convex effect algebra
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